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Polymer Modeling Applications of Symbolic Computation

In: Applications of Computer Algebra

Author

Listed:
  • John T. Bendler

    (General Electric Corporate Research and Development, Polymer Physics and Engineering Branch)

  • Michael F. Shlesinger

    (Office of Naval Research, Physics Division)

Abstract

Statistical models are employed to describe (a) the geometry and (b) kinetics of local conformational backbone motions in glassy polymers. First, 13 the chemical shift anisotropy (CSA) tensor line shape of an aromatic C is modeled using a double-well potential with temperature-dependent flips and oscillations modulating the experimental principal components. MACSYMA is used to perform matrix multiplications and subsequent Boltzmann averages. Second, bond-defect diffusion models lead to Levy-stable laws for conformer orientational survival probability densities. MACSYMA assists in the analysis and resummation of series expansions of stable laws needed for data processing.

Suggested Citation

  • John T. Bendler & Michael F. Shlesinger, 1985. "Polymer Modeling Applications of Symbolic Computation," Springer Books, in: Richard Pavelle (ed.), Applications of Computer Algebra, chapter 8, pages 169-182, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4684-6888-5_8
    DOI: 10.1007/978-1-4684-6888-5_8
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